A cockle-induced bioturbation model and its impact on sediment erodibility: a meta-analysis.

SUPPLEMENTARY DATA
Author

Amélie Lehuen, Francis Orvain

Published

August 29, 2023

1 Introduction

NB: Graphs can be observed full screen by a right click + “Open image in new tab”

2 Materials and Methods

All data processing was conducted in R version 4.3.0 (2023-04-21 ucrt) and Matlab 2021a. Significance levels are p < .0001 with “****”, p < .001 with “***”, p < .01 with “**”, p < .05 with “*”.

2.1 Metabolic rate

2.2 Erosion data

SuppFig 2.A: Bed sheer stress (BSS) [Pa] time scheme for each experiment versus the biological factor (in A, the metabolic rate MSRtot [mW.m-2]) and the silt rate (in B silt content [%]).

2.3 Data treatment

2.4 Model building

2.4.1 Erosion model

SuppTab 2.A. Types of equation tested for each erosion process. BioFact corresponds to the biologic factor used, here the MSRtot, SedFact corresponds to the sediment description factor, here silt content.
Equation 3 Qfluff(t0) Cases (q)
1 Q_{fluff}(t_0)=Q_{inf}.(1-e^{(-a_{QBio}.BioFact)})+\epsilon
2 Q_{fluff}(t_0)=(a_{QBio}.BioFact+b_{QBio}).(a_{QSed}.SedFact+b_{QSed})
3 Q_{fluff}(t_0)=[Q_{inf}.(1-e^{(-a_{QBio}.BioFact)})+\epsilon].[a_{QSed}.SedFact+b_{QSed}]
4 Q_{fluff}(t_0)=[Q_{inf}.(1-e^{(-a_{QBio}.BioFact)})+\epsilon].[(e^{a_{Sed}.SedFact})+\iota]
5 Q_{fluff}(t_0)=[Q_{inf}.(1-e^{(-a_{QBio}.BioFact)})+\epsilon].[1-e^{(-a_{Sed}.SedFact)}+\iota]
6 Q_{fluff}(t_0)=[Q_{inf}.(1-e^{(-a_{QBio}.BioFact)})+\epsilon].[\frac{e^{-a_{Sed}.\ \frac{(SedFact-b_{Sed})^2}{2.{c_{Sed}}^2}}}{c_{Sed}.\sqrt{2\pi}}]
Equation 5 E0 Cases (m)
0 E_0=a_{EBio}.E_{0ab}
Equation 6 Taucritmass Cases (tm)
0 \tau_{mass} = a_{TBio}.\tau_{mass0ab}
1 \tau_{mass} = \tau_{mass0ab}.(a_{TBio}.BioFact+b_{TBio} )
2 \tau_{mass} = \tau_{mass0ab}.(a_{TBio}.{BioFact}^{b_{TBio}+oo} )
3 \tau_{mass} = \tau_{mass0ab}.(a_{TBio}.e^{(BioFact.b_{TBio})}+oo)

2.4.2 Model adjustment

2.4.3 Model validation

3 Results

3.1 Model pre-adjustments

3.1.1 Creation of the fluff layer (I.)

SuppFig 3.A: Observed Qfluff_obs values for MSRtot (mW.m²), (%) silt content and the validated Qfluff(t0) modelled surface.

SuppFig 3.B: Qfluff(t0) observed data versus the modelled one (all in A and detailed by study in B). The solid grey line represents Y = X relationship and its nRMSE.

The Durbin Watson score for the validated Qfluff(t0) model is 1.598 (p-value 0.041).

3.1.2 Abiotic sediment erodibility: control mass erosion (II.)

SuppFig 3.C: Erosion data for control experiments (II. A) and model (II. B) versus silt content (%). The thick solid lines represent the mass erosion steps.

SuppFig 3.D: Erosion model for control experiment observed/predicted plot (A1) and detailed for each study (A2), the solid grey line represents y=x relationship with its nRMSE; BSS plot of experiment for observed (top row) and predicted (bottom row) curve (B1) and detailed for each study (B2).

SuppFig 3.E: Erosion model parameters for control runs, versus the silt content of each pool of run.

3.2 Individual fluff & mass erosion (III.)

SuppFig 3.F: Erosion data used for the biological experiments (III. A) and for the individual fluff model (III. B) versus the biological factor (metabolic rate mW.m-2). The thick solid lines represent the mass erosion steps. Control data are not included for the sake of clarity.

SuppFig 3.G: Erosion data used for the biological experiments (III. A) and for the individual mass model (III. B) versus the biological factor (metabolic rate mW.m-2). The thick solid lines represent the mass erosion steps. Control data are not included for the sake of clarity.

SuppFig 3.H: Erosion data used for the biological experiments (III. A) and for the individual fluff and mass model (III. B) versus the biological factor (metabolic rate mW.m-2). The thick solid lines represent the mass erosion steps. Control data are not included for the sake of clarity.

SuppFig 3.I: Fluff erosion model observed/predicted plot (A1) and detailed per study (A2), the solid grey line represents the y=x relationship with its nRMSE; BSS plot of experiment for observed (top row) and predicted curve (bottom row) (B1) and detailed per study (B2).

SuppFig 3.J: Mass erosion model observed/predicted plot (A1) and detailed per study (A2), the solid grey line represents the y=x relationship with its nRMSE; BSS plot of experiment for observed (top row) and predicted curve (bottom row) (B1) and detailed per study (B2).

SuppFig 3.K: Fluff & mass erosion model observed/predicted plot (A1) and detailed per study (A2), the solid grey line represents the y=x relationship with its nRMSE; BSS plot of experiment for observed (top row) and predicted curve (bottom row) (B1) and detailed per study (B2).

3.3 Type of sediment, fluff & mass erosion

3.4 Global fluff & mass adjustment

SuppFig 3.L: Individual fluff & mass erosion data for the biological experiments (III. fluff & mass A) and global fluff model (III. fluff & mass B) versus the biological factor (metabolic rate mW.m-2). Control data are not included for the sake of clarity.

SuppFig 3.M: Sediment type fluff & mass erosion data for the biological experiments (IV. fluff & mass A) and global fluff model (IV. fluff & mass B) versus the biological factor (metabolic rate mW.m-2). Control data are not included for the sake of clarity.

SuppFig 3.N: Global fluff & mass erosion data for the biological experiments (V. fluff & mass A) and global fluff model (V. fluff & mass B) versus the biological factor (metabolic rate mW.m-2). Controls data are removed of plot for the sake of clarity.

SuppFig 3.O: Individual fluff & mass erosion model observed/predicted plot (A1) and detailed per study (A2), the solid grey line represents the y=x relationship with its nRMSE; BSS plot of experiment for observed (top row) and predicted curve (bottom row) (B1) and detailed per study (B2).

SuppFig 3.P: Sediment type fluff & mass erosion model observed/predicted plot (A1) and detailed per study (A2), the solid grey line represents the y=x relationship with its nRMSE; BSS plot of experiment for observed (top row) and predicted curve (bottom row) (B1) and detailed per study (B2).

SuppFig 3.Q: Global fluff & mass erosion model observed/predicted plot (A1) and detailed per study (A2), the solid grey line represents the y=x relationship with its nRMSE; BSS plot of experiment for observed (top row) and predicted curve (bottom row) (B1) and detailed per study (B2).

3.5 Global fluff adjustment (V.): the selected model

SuppFig 3.R: Fluff erosion data used for the biological experiments (V. fluff A) and global fluff model (V. fluff B) versus the biological factor (metabolic rate mW.m-2), and predicted-observed plot (C). Control data are not included for the sake of clarity.

SuppFig 3.S: Global fluff erosion model observed/predicted plot (A1) and detailed per study (A2), the solid grey line represents the y=x relationship with its nRMSE; BSS plot of experiment for observed (top row) and predicted curve (bottom row) (B1) and detailed per study (B2).

3.6 Other parameterization tests

SuppTab 3. Types of equation tested for each erosion process. BioFact corresponds to the biological factor used, here the MSRtot, SedFact corresponds to the sediment description factor, here silt content.
Equation 7
\tau_{fluff}(t)=\tau_{fluff}+zrhof.(1-\frac{Q_{fluff}(t)}{Q_{fluff}(t_0)})
Equation 8
A \tau_{mass}(t)=\tau_{mass0}-zrhom.Q_{mass}(t)
B \tau_{mass}(t)=\tau_{mass0}.e^{(1-zrhom.Q_{mass}(t))}+\theta
C \tau_{mass}(t)=(\theta-\tau_{mass0}).e^{(zrhom.Q_{mass}(t))}+\tau_{mass0}
Equation 9
A E_{0ab}=(a_{ESed}.SedFact+b_{ESed})
B E_{0ab}=a_{ESed}.e^{(SedFact^{b_{ESed}})}+\upsilon
Equation 10
A \tau_{mass0ab}=a_{TSed}.SedFact+b_{TSed}
B \tau_{mass0ab}=a_{TSed}.{SedFact}^{b_{TSed}}+\omega
C \tau_{mass0ab}=a_{TSed}.e^{SedFact.b_{TSed}}+\omega

3.7 Results tables

SuppTab 3.A:

Models validated parameters.
Run Cond_Fact Cond_Biom Silt_content Itot_mWm2_Ero Equation_3 Equation_2 Equation_4 Equation_5 Equation_6
Qinf aQBio epsilon aQSed iota Alpha tau_crit_fluff omicron E0 tau_crit_mass E0ab tm0ab aEBio aTBio bTBio oo
I. Creation of th fluff layer
All All All - - 20.163 0.01 11.837 1.815 1.12 - - - - - - - - - - -
II. Abiotic sediment erodibility
Cozzoli_2020 0P All 0     - - - - - - - - - 0.014 0.037 0.014 0.037 - - - -
Li_2017 NonCoh All 0     - - - - - - - - - 0.047 0.076 0.047 0.076 - - - -
Orvain_2022 S100V0 All 0     - - - - - - - - - 0.083 0.383 0.083 0.383 - - - -
Cozzoli_2020 4P All 0.04  - - - - - - - - - 0.071 0.074 0.071 0.074 - - - -
Dairain_2019 NoPHY_MPB All 0.044 - - - - - - - - - 1.201 0.752 1.201 0.752 - - - -
Dairain_2019 NoPHY_NoMPB All 0.044 - - - - - - - - - 0.271 0.496 0.271 0.496 - - - -
Dairain_2019 PHY_MPB All 0.044 - - - - - - - - - 2.282 1.061 2.282 1.061 - - - -
Dairain_2019 PHY_NoMPB All 0.044 - - - - - - - - - 0.018 0.169 0.018 0.169 - - - -
Orvain_2022 S75V25 All 0.085 - - - - - - - - - 0.398 0.49 0.398 0.49 - - - -
Cozzoli_2020 10P All 0.1   - - - - - - - - - 0.05 0.105 0.05 0.105 - - - -
Cozzoli_2018 MudSand All 0.12  - - - - - - - - - 2.943 × 10−12 5.839 × 10−11 2.943 × 10−12 5.839 × 10−11 - - - -
Orvain_2022 S50V50 All 0.179 - - - - - - - - - 0.35 0.473 0.35 0.473 - - - -
Cozzoli_2020 28P All 0.28  - - - - - - - - - 0.001 0.018 0.001 0.018 - - - -
Orvain_2022 S25V75 All 0.281 - - - - - - - - - 0.265 0.516 0.265 0.516 - - - -
Li_2017 Coh All 0.32  - - - - - - - - - 1.000 × 10−3 1 1.000 × 10−3 1 - - - -
Orvain_2022 S0V100 All 0.357 - - - - - - - - - 0.341 0.728 0.341 0.728 - - - -
Ciutat_2007 Natural All 0.723 - - - - - - - - - 0.012 0.154 0.012 0.154 - - - -
III. Individual fluff erosion
Cozzoli_2020 0P 0P_CONT 0       0     - - - - - 2.609 × 10−14 0.052 0.031 - - - - - - - -
Cozzoli_2020 0P 0P_F15 0      88.357 - - - - - 2.553 × 10−5 0.02 0.026 - - - - - - - -
Cozzoli_2020 0P 0P_F20 0      71.449 - - - - - 1.385 × 10−4 0.046 0.011 - - - - - - - -
Cozzoli_2020 0P 0P_F27 0      57.419 - - - - - 6.351 × 10−7 0.005 0.019 - - - - - - - -
Cozzoli_2020 0P 0P_F35 0      47.513 - - - - - 1.625 × 10−11 0.073 0.026 - - - - - - - -
Li_2017 NonCoh NonCoh_High 0     127.527 - - - - - 0.308 0.198 0.034 - - - - - - - -
Li_2017 NonCoh NonCoh_Low 0      42.652 - - - - - 3.409 × 10−4 0.128 0.089 - - - - - - - -
Li_2017 NonCoh NonCoh_None 0       0     - - - - - 1.247 × 10−4 0.128 0.113 - - - - - - - -
Orvain_2022 S100V0 S100V0_Adul 0     319.329 - - - - - 5.765 × 10−4 1.107 0.432 - - - - - - - -
Orvain_2022 S100V0 S100V0_Cont 0       0     - - - - - 4.163 × 10−14 0.65 0.129 - - - - - - - -
Orvain_2022 S100V0 S100V0_Juve 0     368.327 - - - - - 3.049 × 10−12 0.673 0.187 - - - - - - - -
Cozzoli_2020 4P 4P_CONT 0.04    0     - - - - - 0 0.096 0.073 - - - - - - - -
Cozzoli_2020 4P 4P_F15 0.04   88.357 - - - - - 9.896 × 10−5 0.02 0.151 - - - - - - - -
Cozzoli_2020 4P 4P_F20 0.04   71.449 - - - - - 0.104 0.021 0.017 - - - - - - - -
Cozzoli_2020 4P 4P_F27 0.04   57.419 - - - - - 8.710 × 10−5 0.02 0.124 - - - - - - - -
Cozzoli_2020 4P 4P_F35 0.04   47.513 - - - - - 0.004 0.051 0.23 - - - - - - - -
Dairain_2019 NoPHY_MPB NoPHY_MPB_Low 0.044  46.964 - - - - - 5.551 × 10−16 0.186 0.162 - - - - - - - -
Dairain_2019 NoPHY_MPB NoPHY_MPB_Medium 0.044 117.41  - - - - - 4.163 × 10−14 0.113 0.272 - - - - - - - -
Dairain_2019 NoPHY_MPB NoPHY_MPB_None 0.044   0     - - - - - 6.600 × 10−13 1.066 0.964 - - - - - - - -
Dairain_2019 NoPHY_NoMPB NoPHY_NoMPB_Low 0.044  46.964 - - - - - 2.322 × 10−5 0.217 0.215 - - - - - - - -
Dairain_2019 NoPHY_NoMPB NoPHY_NoMPB_Medium 0.044 117.41  - - - - - 7.216 × 10−15 0.119 0.277 - - - - - - - -
Dairain_2019 NoPHY_NoMPB NoPHY_NoMPB_None 0.044   0     - - - - - 1.332 × 10−14 0.798 0.408 - - - - - - - -
Dairain_2019 PHY_MPB PHY_MPB_Low 0.044  46.964 - - - - - 2.720 × 10−14 0.305 0.286 - - - - - - - -
Dairain_2019 PHY_MPB PHY_MPB_Medium 0.044 117.41  - - - - - 1.404 × 10−4 0.149 0.268 - - - - - - - -
Dairain_2019 PHY_MPB PHY_MPB_None 0.044   0     - - - - - 0.006 1.278 1.595 - - - - - - - -
Dairain_2019 PHY_NoMPB PHY_NoMPB_Low 0.044  46.964 - - - - - 0 0.129 0.228 - - - - - - - -
Dairain_2019 PHY_NoMPB PHY_NoMPB_Medium 0.044 117.41  - - - - - 7.216 × 10−14 0.12 0.288 - - - - - - - -
Dairain_2019 PHY_NoMPB PHY_NoMPB_None 0.044   0     - - - - - 2.554 × 10−14 0.424 0.061 - - - - - - - -
Orvain_2022 S75V25 S75V25_Adul 0.085 247.3   - - - - - 1.110 × 10−15 0.541 0.397 - - - - - - - -
Orvain_2022 S75V25 S75V25_Cont 0.085   0     - - - - - 6.661 × 10−15 0.663 0.363 - - - - - - - -
Orvain_2022 S75V25 S75V25_Juve 0.085 317.314 - - - - - 4.441 × 10−15 0.669 0.59 - - - - - - - -
Cozzoli_2020 10P 10P_CONT 0.1     0     - - - - - 0.015 0.166 0.054 - - - - - - - -
Cozzoli_2020 10P 10P_F15 0.1    88.357 - - - - - 6.162 × 10−14 0.037 0.038 - - - - - - - -
Cozzoli_2020 10P 10P_F20 0.1    71.449 - - - - - 5.113 × 10−13 0.055 0.056 - - - - - - - -
Cozzoli_2020 10P 10P_F35 0.1    47.513 - - - - - 0 0.023 0.027 - - - - - - - -
Cozzoli_2018 MudSand MudSand_Big_High 0.12  288.453 - - - - - 4.391 0.184 0.005 - - - - - - - -
Cozzoli_2018 MudSand MudSand_Big_Low 0.12   48.076 - - - - - 0 1.725 × 10−5 0.008 - - - - - - - -
Cozzoli_2018 MudSand MudSand_Big_Medium 0.12   96.151 - - - - - 0 0.021 0.013 - - - - - - - -
Cozzoli_2018 MudSand MudSand_Big_Sparse 0.12   19.23  - - - - - 4.857 × 10−12 1.237 × 10−9 0.002 - - - - - - - -
Cozzoli_2018 MudSand MudSand_Med_High 0.12   94.475 - - - - - 10 0.184 9.770 × 10−14 - - - - - - - -
Cozzoli_2018 MudSand MudSand_Med_Low 0.12   23.619 - - - - - 3.331 × 10−15 0.019 0.008 - - - - - - - -
Cozzoli_2018 MudSand MudSand_Med_Medium 0.12   47.238 - - - - - 2.054 × 10−14 0.004 0.008 - - - - - - - -
Cozzoli_2018 MudSand MudSand_Med_Sparse 0.12   11.809 - - - - - 5.218 × 10−14 0.044 0.011 - - - - - - - -
Cozzoli_2018 MudSand MudSand_None 0.12    0     - - - - - 2.107 × 10−11 3.665 × 10−8 0.004 - - - - - - - -
Cozzoli_2018 MudSand MudSand_Small_High 0.12   24.902 - - - - - 4.774 × 10−14 0.103 0.048 - - - - - - - -
Cozzoli_2018 MudSand MudSand_Small_Low 0.12    6.225 - - - - - 2.548 × 10−13 0.017 0.006 - - - - - - - -
Cozzoli_2018 MudSand MudSand_Small_Medium 0.12   12.451 - - - - - 5.551 × 10−13 0.012 0.008 - - - - - - - -
Orvain_2022 S50V50 S50V50_Adul 0.179 277.488 - - - - - 1.662 × 10−12 1.121 0.27 - - - - - - - -
Orvain_2022 S50V50 S50V50_Cont 0.179   0     - - - - - 7.772 × 10−15 0.712 0.606 - - - - - - - -
Orvain_2022 S50V50 S50V50_Juve 0.179 346.699 - - - - - 5.551 × 10−16 0.807 0.373 - - - - - - - -
Cozzoli_2020 28P 28P_CONT 0.28    0     - - - - - 2.250 × 10−4 0.046 0.001 - - - - - - - -
Cozzoli_2020 28P 28P_F15 0.28   88.357 - - - - - 2.498 × 10−14 0.04 0.037 - - - - - - - -
Cozzoli_2020 28P 28P_F20 0.28   71.449 - - - - - 3.070 × 10−13 0.075 0.042 - - - - - - - -
Cozzoli_2020 28P 28P_F27 0.28   57.419 - - - - - 1.110 × 10−14 0.021 0.02 - - - - - - - -
Cozzoli_2020 28P 28P_F35 0.28   47.513 - - - - - 2.282 × 10−5 0.046 0.037 - - - - - - - -
Orvain_2022 S25V75 S25V75_Adul 0.281 232.219 - - - - - 1.443 × 10−14 0.761 0.656 - - - - - - - -
Orvain_2022 S25V75 S25V75_Cont 0.281   0     - - - - - 3.664 × 10−14 0.796 0.425 - - - - - - - -
Orvain_2022 S25V75 S25V75_Juve 0.281 309.013 - - - - - 1.565 × 10−13 0.806 0.341 - - - - - - - -
Li_2017 Coh Coh_High 0.32  127.527 - - - - - 0 0.041 0.052 - - - - - - - -
Li_2017 Coh Coh_Low 0.32   42.652 - - - - - 3.546 × 10−5 0.082 0.049 - - - - - - - -
Li_2017 Coh Coh_None 0.32    0     - - - - - 1.000 × 10−4 1 0 - - - - - - - -
Orvain_2022 S0V100 S0V100_Adul 0.357 267.941 - - - - - 5.551 × 10−16 0.658 0.263 - - - - - - - -
Orvain_2022 S0V100 S0V100_Cont 0.357   0     - - - - - 3.914 × 10−13 1.127 0.543 - - - - - - - -
Orvain_2022 S0V100 S0V100_Juve 0.357 345.244 - - - - - 1.554 × 10−14 0.66 0.349 - - - - - - - -
Ciutat_2007 Natural Natural_High 0.723 311.797 - - - - - 0 0.119 0.063 - - - - - - - -
Ciutat_2007 Natural Natural_Low 0.723  47.064 - - - - - 1.943 × 10−14 0.181 0.024 - - - - - - - -
Ciutat_2007 Natural Natural_Medium 0.723 141.191 - - - - - 8.327 × 10−15 0.144 0.034 - - - - - - - -
Ciutat_2007 Natural Natural_None 0.723   0     - - - - - 9.870 × 10−13 0.205 0.011 - - - - - - - -
III. Individual mass erosion
Cozzoli_2020 0P 0P_F15 0      88.357 - - - - - - - - 1.174 × 10−12 4.767 × 10−12 0.014 0.037 8.663 × 10−11 1.304 × 10−10 - -
Cozzoli_2020 0P 0P_CONT 0       0     - - - - - - - - 0.014 0.037 0.014 0.037 1 1 - -
Cozzoli_2020 0P 0P_F20 0      71.449 - - - - - - - - 2.050 × 10−11 1.668 × 10−10 0.014 0.037 1.513 × 10−9 4.563 × 10−9 - -
Cozzoli_2020 0P 0P_F27 0      57.419 - - - - - - - - 4.528 × 10−12 1.764 × 10−11 0.014 0.037 3.341 × 10−10 4.826 × 10−10 - -
Cozzoli_2020 0P 0P_F35 0      47.513 - - - - - - - - 0.002 0.008 0.014 0.037 0.114 0.214 - -
Li_2017 NonCoh NonCoh_None 0       0     - - - - - - - - 0.047 0.076 0.047 0.076 1 1 - -
Li_2017 NonCoh NonCoh_High 0     127.527 - - - - - - - - 0.082 0.101 0.047 0.076 1.754 1.324 - -
Li_2017 NonCoh NonCoh_Low 0      42.652 - - - - - - - - 0.032 0.073 0.047 0.076 0.681 0.96 - -
Orvain_2022 S100V0 S100V0_Adul 0     319.329 - - - - - - - - 0.256 0.608 0.083 0.383 3.063 1.587 - -
Orvain_2022 S100V0 S100V0_Cont 0       0     - - - - - - - - 0.083 0.383 0.083 0.383 1 1 - -
Orvain_2022 S100V0 S100V0_Juve 0     368.327 - - - - - - - - 0.123 0.462 0.083 0.383 1.478 1.207 - -
Cozzoli_2020 4P 4P_F15 0.04   88.357 - - - - - - - - 0.004 0.002 0.071 0.074 0.055 0.028 - -
Cozzoli_2020 4P 4P_CONT 0.04    0     - - - - - - - - 0.071 0.074 0.071 0.074 1 1 - -
Cozzoli_2020 4P 4P_F20 0.04   71.449 - - - - - - - - 0.008 0.003 0.071 0.074 0.113 0.041 - -
Cozzoli_2020 4P 4P_F27 0.04   57.419 - - - - - - - - 0.006 0.004 0.071 0.074 0.082 0.048 - -
Cozzoli_2020 4P 4P_F35 0.04   47.513 - - - - - - - - 0.055 0.029 0.071 0.074 0.773 0.396 - -
Dairain_2019 PHY_MPB PHY_MPB_None 0.044   0     - - - - - - - - 2.282 1.061 2.282 1.061 1 1 - -
Dairain_2019 PHY_NoMPB PHY_NoMPB_None 0.044   0     - - - - - - - - 0.018 0.169 0.018 0.169 1 1 - -
Dairain_2019 PHY_MPB PHY_MPB_Low 0.044  46.964 - - - - - - - - 0.098 0.132 2.282 1.061 0.043 0.125 - -
Dairain_2019 PHY_NoMPB PHY_NoMPB_Low 0.044  46.964 - - - - - - - - 5.563 × 10−4 8.990 × 10−4 0.018 0.169 0.031 0.005 - -
Dairain_2019 PHY_MPB PHY_MPB_Medium 0.044 117.41  - - - - - - - - 0.043 0.048 2.282 1.061 0.019 0.045 - -
Dairain_2019 PHY_NoMPB PHY_NoMPB_Medium 0.044 117.41  - - - - - - - - 3.065 × 10−12 3.386 × 10−12 0.018 0.169 1.720 × 10−10 1.998 × 10−11 - -
Dairain_2019 NoPHY_MPB NoPHY_MPB_None 0.044   0     - - - - - - - - 1.201 0.752 1.201 0.752 1 1 - -
Dairain_2019 NoPHY_NoMPB NoPHY_NoMPB_None 0.044   0     - - - - - - - - 0.271 0.496 0.271 0.496 1 1 - -
Dairain_2019 NoPHY_MPB NoPHY_MPB_Low 0.044  46.964 - - - - - - - - 0.036 0.077 1.201 0.752 0.03 0.103 - -
Dairain_2019 NoPHY_NoMPB NoPHY_NoMPB_Low 0.044  46.964 - - - - - - - - 0.029 0.057 0.271 0.496 0.106 0.114 - -
Dairain_2019 NoPHY_MPB NoPHY_MPB_Medium 0.044 117.41  - - - - - - - - 0.012 0.012 1.201 0.752 0.01 0.016 - -
Dairain_2019 NoPHY_NoMPB NoPHY_NoMPB_Medium 0.044 117.41  - - - - - - - - 0.04 0.032 0.271 0.496 0.147 0.064 - -
Orvain_2022 S75V25 S75V25_Adul 0.085 247.3   - - - - - - - - 0.119 0.219 0.398 0.49 0.3 0.446 - -
Orvain_2022 S75V25 S75V25_Cont 0.085   0     - - - - - - - - 0.398 0.49 0.398 0.49 1 1 - -
Orvain_2022 S75V25 S75V25_Juve 0.085 317.314 - - - - - - - - 0.266 0.378 0.398 0.49 0.668 0.771 - -
Cozzoli_2020 10P 10P_F15 0.1    88.357 - - - - - - - - 1.430 × 10−5 3.710 × 10−5 0.05 0.105 2.889 × 10−4 3.532 × 10−4 - -
Cozzoli_2020 10P 10P_CONT 0.1     0     - - - - - - - - 0.05 0.105 0.05 0.105 1 1 - -
Cozzoli_2020 10P 10P_F20 0.1    71.449 - - - - - - - - 0.001 0.003 0.05 0.105 0.021 0.025 - -
Cozzoli_2020 10P 10P_F35 0.1    47.513 - - - - - - - - 0.001 0.004 0.05 0.105 0.027 0.042 - -
Cozzoli_2018 MudSand MudSand_Big_Medium 0.12   96.151 - - - - - - - - 1.311 × 10−12 1.179 × 10−11 2.943 × 10−12 5.839 × 10−11 0.446 0.202 - -
Cozzoli_2018 MudSand MudSand_Big_Sparse 0.12   19.23  - - - - - - - - 4.026 × 10−15 6.148 × 10−14 2.943 × 10−12 5.839 × 10−11 0.001 0.001 - -
Cozzoli_2018 MudSand MudSand_Big_High 0.12  288.453 - - - - - - - - 1.191 × 10−11 3.137 × 10−11 2.943 × 10−12 5.839 × 10−11 4.047 0.537 - -
Cozzoli_2018 MudSand MudSand_Big_Low 0.12   48.076 - - - - - - - - 5.808 × 10−14 6.385 × 10−13 2.943 × 10−12 5.839 × 10−11 0.02 0.011 - -
Cozzoli_2018 MudSand MudSand_Med_Low 0.12   23.619 - - - - - - - - 1.299 × 10−14 1.516 × 10−13 2.943 × 10−12 5.839 × 10−11 0.004 0.003 - -
Cozzoli_2018 MudSand MudSand_Med_Medium 0.12   47.238 - - - - - - - - 1.126 × 10−14 1.311 × 10−13 2.943 × 10−12 5.839 × 10−11 0.004 0.002 - -
Cozzoli_2018 MudSand MudSand_Med_High 0.12   94.475 - - - - - - - - 9.835 × 10−12 4.537 × 10−11 2.943 × 10−12 5.839 × 10−11 3.342 0.777 - -
Cozzoli_2018 MudSand MudSand_Med_Sparse 0.12   11.809 - - - - - - - - 5.265 × 10−13 5.726 × 10−12 2.943 × 10−12 5.839 × 10−11 0.179 0.098 - -
Cozzoli_2018 MudSand MudSand_Small_Low 0.12    6.225 - - - - - - - - 5.351 × 10−15 7.716 × 10−14 2.943 × 10−12 5.839 × 10−11 0.002 0.001 - -
Cozzoli_2018 MudSand MudSand_Small_Medium 0.12   12.451 - - - - - - - - 2.754 × 10−14 3.256 × 10−13 2.943 × 10−12 5.839 × 10−11 0.009 0.006 - -
Cozzoli_2018 MudSand MudSand_Small_High 0.12   24.902 - - - - - - - - 1.078 × 10−11 5.525 × 10−11 2.943 × 10−12 5.839 × 10−11 3.663 0.946 - -
Cozzoli_2018 MudSand MudSand_None 0.12    0     - - - - - - - - 6.729 × 10−18 1.335 × 10−16 2.943 × 10−12 5.839 × 10−11 2.287 × 10−6 2.287 × 10−6 - -
Orvain_2022 S50V50 S50V50_Adul 0.179 277.488 - - - - - - - - 0.124 0.618 0.35 0.473 0.355 1.306 - -
Orvain_2022 S50V50 S50V50_Cont 0.179   0     - - - - - - - - 0.35 0.473 0.35 0.473 1 1 - -
Orvain_2022 S50V50 S50V50_Juve 0.179 346.699 - - - - - - - - 0.096 0.374 0.35 0.473 0.274 0.792 - -
Cozzoli_2020 28P 28P_F15 0.28   88.357 - - - - - - - - 1.058 × 10−11 2.795 × 10−11 0.001 0.018 8.012 × 10−9 1.557 × 10−9 - -
Cozzoli_2020 28P 28P_CONT 0.28    0     - - - - - - - - 0.001 0.018 0.001 0.018 1 1 - -
Cozzoli_2020 28P 28P_F20 0.28   71.449 - - - - - - - - 0.002 0.007 0.001 0.018 1.596 0.374 - -
Cozzoli_2020 28P 28P_F27 0.28   57.419 - - - - - - - - 2.689 × 10−4 0.001 0.001 0.018 0.204 0.07 - -
Cozzoli_2020 28P 28P_F35 0.28   47.513 - - - - - - - - 0.001 0.005 0.001 0.018 1.03 0.285 - -
Orvain_2022 S25V75 S25V75_Adul 0.281 232.219 - - - - - - - - 0.232 0.391 0.265 0.516 0.876 0.757 - -
Orvain_2022 S25V75 S25V75_Cont 0.281   0     - - - - - - - - 0.265 0.516 0.265 0.516 1 1 - -
Orvain_2022 S25V75 S25V75_Juve 0.281 309.013 - - - - - - - - 0.092 0.391 0.265 0.516 0.347 0.757 - -
Li_2017 Coh Coh_None 0.32    0     - - - - - - - - 1.000 × 10−3 1 1.000 × 10−3 1 1 1 - -
Li_2017 Coh Coh_High 0.32  127.527 - - - - - - - - 4.955 × 10−11 1.285 × 10−10 1.000 × 10−3 1 4.955 × 10−8 1.285 × 10−10 - -
Li_2017 Coh Coh_Low 0.32   42.652 - - - - - - - - 8.064 × 10−11 4.409 × 10−10 1.000 × 10−3 1 8.064 × 10−8 4.409 × 10−10 - -
Orvain_2022 S0V100 S0V100_Adul 0.357 267.941 - - - - - - - - 0.068 0.27 0.341 0.728 0.2 0.371 - -
Orvain_2022 S0V100 S0V100_Cont 0.357   0     - - - - - - - - 0.341 0.728 0.341 0.728 1 1 - -
Orvain_2022 S0V100 S0V100_Juve 0.357 345.244 - - - - - - - - 0.111 0.353 0.341 0.728 0.324 0.485 - -
Ciutat_2007 Natural Natural_High 0.723 311.797 - - - - - - - - 0.013 0.039 0.012 0.154 1.048 0.25 - -
Ciutat_2007 Natural Natural_Low 0.723  47.064 - - - - - - - - 0.017 0.105 0.012 0.154 1.403 0.681 - -
Ciutat_2007 Natural Natural_Medium 0.723 141.191 - - - - - - - - 0.015 0.075 0.012 0.154 1.185 0.484 - -
Ciutat_2007 Natural Natural_None 0.723   0     - - - - - - - - 0.012 0.154 0.012 0.154 1 1 - -
III. Individual fluff & mass erosion
Cozzoli_2020 0P 0P_CONT 0       0     - - - - - 0.017 0.119 9.392 × 10−13 0.009 0.034 0.014 0.037 0.677 0.937 - -
Cozzoli_2020 0P 0P_F15 0      88.357 - - - - - 2.707 × 10−4 0.014 1.425 × 10−10 0.003 0.02 0.014 0.037 0.214 0.534 - -
Cozzoli_2020 0P 0P_F20 0      71.449 - - - - - 0.085 4.058 0.005 1.037 × 10−12 8.439 × 10−12 0.014 0.037 7.653 × 10−11 2.309 × 10−10 - -
Cozzoli_2020 0P 0P_F27 0      57.419 - - - - - 9.110 × 10−4 0.016 1.937 × 10−13 5.484 × 10−4 0.004 0.014 0.037 0.04 0.111 - -
Cozzoli_2020 0P 0P_F35 0      47.513 - - - - - 5.718 × 10−5 0.02 0.005 0.006 0.039 0.014 0.037 0.468 1.073 - -
Li_2017 NonCoh NonCoh_High 0     127.527 - - - - - 2.162 0.326 0.487 0.031 0.066 0.047 0.076 0.652 0.872 - -
Li_2017 NonCoh NonCoh_Low 0      42.652 - - - - - 0.017 0.177 6.375 × 10−10 0.02 0.067 0.047 0.076 0.424 0.877 - -
Li_2017 NonCoh NonCoh_None 0       0     - - - - - 0.039 0.217 0.124 0.025 0.06 0.047 0.076 0.536 0.795 - -
Orvain_2022 S100V0 S100V0_Adul 0     319.329 - - - - - 0.034 1.14 0.432 0.104 0.503 0.083 0.383 1.248 1.315 - -
Orvain_2022 S100V0 S100V0_Cont 0       0     - - - - - 0.397 0.039 1.404 × 10−9 0.16 0.535 0.083 0.383 1.915 1.398 - -
Orvain_2022 S100V0 S100V0_Juve 0     368.327 - - - - - 0.002 1.055 0.197 0.006 0.119 0.083 0.383 0.067 0.312 - -
Cozzoli_2020 4P 4P_CONT 0.04    0     - - - - - 0.001 0.095 1.821 × 10−10 0.063 0.075 0.071 0.074 0.889 1.012 - -
Cozzoli_2020 4P 4P_F15 0.04   88.357 - - - - - 7.713 0.046 0.002 1.054 × 10−4 1.129 × 10−4 0.071 0.074 0.001 0.002 - -
Cozzoli_2020 4P 4P_F20 0.04   71.449 - - - - - 0.008 0.028 1.706 × 10−10 0.008 0.004 0.071 0.074 0.113 0.052 - -
Cozzoli_2020 4P 4P_F27 0.04   57.419 - - - - - 0.04 0.044 0.021 0.013 0.009 0.071 0.074 0.18 0.12 - -
Cozzoli_2020 4P 4P_F35 0.04   47.513 - - - - - 0.03 0.077 0.083 0.001 0.004 0.071 0.074 0.018 0.047 - -
Dairain_2019 NoPHY_MPB NoPHY_MPB_Low 0.044  46.964 - - - - - 0.168 0.144 0.284 0.311 0.31 1.201 0.752 0.259 0.412 - -
Dairain_2019 NoPHY_MPB NoPHY_MPB_Medium 0.044 117.41  - - - - - 0.002 0.182 0.333 5.950 × 10−4 0.001 1.201 0.752 4.955 × 10−4 0.002 - -
Dairain_2019 NoPHY_MPB NoPHY_MPB_None 0.044   0     - - - - - 10 1.158 2.738 × 10−8 1.019 0.753 1.201 0.752 0.848 1.002 - -
Dairain_2019 NoPHY_NoMPB NoPHY_NoMPB_Low 0.044  46.964 - - - - - 8.772 × 10−4 0.295 0.229 9.663 × 10−13 7.022 × 10−12 0.271 0.496 3.572 × 10−12 1.414 × 10−11 - -
Dairain_2019 NoPHY_NoMPB NoPHY_NoMPB_Medium 0.044 117.41  - - - - - 1.573 0.3 0.382 0.011 0.013 0.271 0.496 0.041 0.025 - -
Dairain_2019 NoPHY_NoMPB NoPHY_NoMPB_None 0.044   0     - - - - - 0.324 0.648 0.352 0.41 0.631 0.271 0.496 1.516 1.272 - -
Dairain_2019 PHY_MPB PHY_MPB_Low 0.044  46.964 - - - - - 0.109 0.452 8.373 × 10−6 0.081 0.128 2.282 1.061 0.035 0.121 - -
Dairain_2019 PHY_MPB PHY_MPB_Medium 0.044 117.41  - - - - - 5.438 0.306 5.895 0.003 0.008 2.282 1.061 0.001 0.008 - -
Dairain_2019 PHY_MPB PHY_MPB_None 0.044   0     - - - - - 5.474 × 10−6 0.016 0.003 2.336 1.076 2.282 1.061 1.024 1.014 - -
Dairain_2019 PHY_NoMPB PHY_NoMPB_Low 0.044  46.964 - - - - - 3.386 × 10−14 3.682 × 10−4 0.021 0.034 0.052 0.018 0.169 1.882 0.306 - -
Dairain_2019 PHY_NoMPB PHY_NoMPB_Medium 0.044 117.41  - - - - - 2.387 × 10−14 5.417 × 10−5 0.023 0.041 0.042 0.018 0.169 2.321 0.249 - -
Dairain_2019 PHY_NoMPB PHY_NoMPB_None 0.044   0     - - - - - 0.054 0.68 0.057 4.385 × 10−10 1.296 × 10−8 0.018 0.169 2.461 × 10−8 7.650 × 10−8 - -
Orvain_2022 S75V25 S75V25_Adul 0.085 247.3   - - - - - 2.142 × 10−11 1.1 0.276 0.049 0.133 0.398 0.49 0.124 0.271 - -
Orvain_2022 S75V25 S75V25_Cont 0.085   0     - - - - - 1.528 1.854 3.964 0.33 0.471 0.398 0.49 0.829 0.96 - -
Orvain_2022 S75V25 S75V25_Juve 0.085 317.314 - - - - - 2.498 × 10−14 1.769 2.073 0.068 0.2 0.398 0.49 0.171 0.407 - -
Cozzoli_2020 10P 10P_CONT 0.1     0     - - - - - 0.02 0.179 0.008 0.013 0.076 0.05 0.105 0.271 0.728 - -
Cozzoli_2020 10P 10P_F15 0.1    88.357 - - - - - 1.006 × 10−4 0.02 0.009 0.016 0.037 0.05 0.105 0.316 0.35 - -
Cozzoli_2020 10P 10P_F20 0.1    71.449 - - - - - 5.825 7.584 7.788 × 10−4 0.001 0.003 0.05 0.105 0.021 0.025 - -
Cozzoli_2020 10P 10P_F35 0.1    47.513 - - - - - 0.002 0.071 8.124 × 10−9 3.600 × 10−9 1.995 × 10−8 0.05 0.105 7.271 × 10−8 1.900 × 10−7 - -
Cozzoli_2018 MudSand MudSand_Big_High 0.12  288.453 - - - - - 1.121 0.25 0.489 2.764 × 10−11 1.434 × 10−10 2.943 × 10−12 5.839 × 10−11 9.394 2.456 - -
Cozzoli_2018 MudSand MudSand_Big_Low 0.12   48.076 - - - - - 2.354 × 10−13 0.02 0.007 1.514 × 10−12 9.942 × 10−11 2.943 × 10−12 5.839 × 10−11 0.515 1.703 - -
Cozzoli_2018 MudSand MudSand_Big_Medium 0.12   96.151 - - - - - 1.221 × 10−13 0.014 0.004 3.568 × 10−12 5.462 × 10−11 2.943 × 10−12 5.839 × 10−11 1.212 0.935 - -
Cozzoli_2018 MudSand MudSand_Big_Sparse 0.12   19.23  - - - - - 4.493 × 10−12 1.163 × 10−9 0.002 4.727 × 10−22 4.990 × 10−10 2.943 × 10−12 5.839 × 10−11 1.606 × 10−10 8.545 - -
Cozzoli_2018 MudSand MudSand_Med_High 0.12   94.475 - - - - - 0.027 0.239 0.152 3.018 × 10−12 2.216 × 10−11 2.943 × 10−12 5.839 × 10−11 1.026 0.38 - -
Cozzoli_2018 MudSand MudSand_Med_Low 0.12   23.619 - - - - - 4.724 × 10−13 0.02 0.006 1.248 × 10−12 7.363 × 10−11 2.943 × 10−12 5.839 × 10−11 0.424 1.261 - -
Cozzoli_2018 MudSand MudSand_Med_Medium 0.12   47.238 - - - - - 2.450 × 10−12 0.02 0.007 1.411 × 10−12 1.096 × 10−10 2.943 × 10−12 5.839 × 10−11 0.48 1.876 - -
Cozzoli_2018 MudSand MudSand_Med_Sparse 0.12   11.809 - - - - - 1.588 × 10−13 0.003 0.004 4.628 × 10−12 8.810 × 10−11 2.943 × 10−12 5.839 × 10−11 1.573 1.509 - -
Cozzoli_2018 MudSand MudSand_None 0.12    0     - - - - - 1.732 × 10−13 0.016 0.005 5.701 × 10−24 6.813 × 10−11 2.943 × 10−12 5.839 × 10−11 1.937 × 10−12 1.167 - -
Cozzoli_2018 MudSand MudSand_Small_High 0.12   24.902 - - - - - 0.006 0.212 0.149 3.083 × 10−12 2.537 × 10−11 2.943 × 10−12 5.839 × 10−11 1.048 0.435 - -
Cozzoli_2018 MudSand MudSand_Small_Low 0.12    6.225 - - - - - 2.498 × 10−14 4.603 × 10−4 0.005 1.406 × 10−12 1.314 × 10−10 2.943 × 10−12 5.839 × 10−11 0.478 2.25 - -
Cozzoli_2018 MudSand MudSand_Small_Medium 0.12   12.451 - - - - - 7.772 × 10−15 0.019 0.008 1.086 × 10−20 4.083 × 10−10 2.943 × 10−12 5.839 × 10−11 3.690 × 10−9 6.993 - -
Orvain_2022 S50V50 S50V50_Adul 0.179 277.488 - - - - - 0.005 1.49 0.255 0.015 0.282 0.35 0.473 0.041 0.597 - -
Orvain_2022 S50V50 S50V50_Cont 0.179   0     - - - - - 4.043 × 10−6 0.007 0.004 0.399 0.513 0.35 0.473 1.14 1.084 - -
Orvain_2022 S50V50 S50V50_Juve 0.179 346.699 - - - - - 8.636 × 10−7 0.039 0.013 0.2 0.608 0.35 0.473 0.572 1.286 - -
Cozzoli_2020 28P 28P_CONT 0.28    0     - - - - - 0.003 0.182 3.464 × 10−10 0.001 0.016 0.001 0.018 0.839 0.892 - -
Cozzoli_2020 28P 28P_F15 0.28   88.357 - - - - - 3.246 × 10−4 0.031 2.281 × 10−10 3.502 × 10−10 1.546 × 10−9 0.001 0.018 2.652 × 10−7 8.611 × 10−8 - -
Cozzoli_2020 28P 28P_F20 0.28   71.449 - - - - - 0.006 0.174 2.936 × 10−12 1.875 × 10−4 7.106 × 10−4 0.001 0.018 0.142 0.04 - -
Cozzoli_2020 28P 28P_F27 0.28   57.419 - - - - - 5.471 × 10−5 0.022 8.843 × 10−4 1.155 × 10−14 8.755 × 10−14 0.001 0.018 8.743 × 10−12 4.878 × 10−12 - -
Cozzoli_2020 28P 28P_F35 0.28   47.513 - - - - - 3.546 × 10−4 0.045 1.394 × 10−9 9.417 × 10−9 6.600 × 10−8 0.001 0.018 7.131 × 10−6 3.677 × 10−6 - -
Orvain_2022 S25V75 S25V75_Adul 0.281 232.219 - - - - - 0.014 0.992 4.797 × 10−11 0.204 0.386 0.265 0.516 0.769 0.748 - -
Orvain_2022 S25V75 S25V75_Cont 0.281   0     - - - - - 1.260 × 10−4 0.078 0.001 0.375 0.62 0.265 0.516 1.413 1.201 - -
Orvain_2022 S25V75 S25V75_Juve 0.281 309.013 - - - - - 3.131 × 10−13 0.172 0.016 0.171 0.599 0.265 0.516 0.643 1.161 - -
Li_2017 Coh Coh_High 0.32  127.527 - - - - - 6.856 × 10−4 0.082 0.009 0.002 0.007 1.000 × 10−3 1 2.185 0.007 - -
Li_2017 Coh Coh_Low 0.32   42.652 - - - - - 2.332 × 10−4 0.082 0.016 1.869 × 10−4 0.002 1.000 × 10−3 1 0.187 0.002 - -
Li_2017 Coh Coh_None 0.32    0     - - - - - 1.000 × 10−3 1 0 1.000 × 10−3 1 1.000 × 10−3 1 1 1 - -
Orvain_2022 S0V100 S0V100_Adul 0.357 267.941 - - - - - 1.454 × 10−13 0.976 0.244 5.225 × 10−4 0.007 0.341 0.728 0.002 0.009 - -
Orvain_2022 S0V100 S0V100_Cont 0.357   0     - - - - - 1.110 × 10−15 1.892 × 10−11 0.003 0.423 0.823 0.341 0.728 1.239 1.131 - -
Orvain_2022 S0V100 S0V100_Juve 0.357 345.244 - - - - - 1.813 × 10−5 0.033 0.005 0.196 0.537 0.341 0.728 0.574 0.737 - -
Ciutat_2007 Natural Natural_High 0.723 311.797 - - - - - 0.184 0.373 0.615 9.594 × 10−4 0.004 0.012 0.154 0.078 0.028 - -
Ciutat_2007 Natural Natural_Low 0.723  47.064 - - - - - 0.005 0.282 0.015 0.004 0.054 0.012 0.154 0.334 0.348 - -
Ciutat_2007 Natural Natural_Medium 0.723 141.191 - - - - - 3.699 × 10−4 0.283 0.036 0.002 0.025 0.012 0.154 0.192 0.159 - -
Ciutat_2007 Natural Natural_None 0.723   0     - - - - - 0.003 0.278 6.014 × 10−4 3.754 × 10−4 0.028 0.012 0.154 0.03 0.179 - -
IV. Type of sediment, fluff & mass erosion
Cozzoli_2020 0P All 0     - - - - - - 2.957 × 10−4 0.017 3.631 × 10−7 0.025 0.057 0.014 0.037 1.877 1.551 0.004 0.172
Li_2017 NonCoh All 0     - - - - - - 1.716 0.326 0.449 0.036 0.071 0.047 0.076 0.771 0.927 3.191 × 10−4 0.002
Orvain_2022 S100V0 All 0     - - - - - - 5.345 × 10−12 0.037 0.007 0.263 5.062 × 10−4 0.083 0.383 3.145 0.001 0.01 1.665
Cozzoli_2020 4P All 0.04  - - - - - - 2.87 0.02 0.008 0.145 0.035 0.071 0.074 2.048 0.475 0.061 0.935
Dairain_2019 NoPHY_MPB All 0.044 - - - - - - 7.295 0.194 0.611 1.491 0.452 1.201 0.752 1.242 0.601 9.481 × 10−12 0.477
Dairain_2019 NoPHY_NoMPB All 0.044 - - - - - - 1.058 0.213 3.042 0.578 5.085 × 10−8 0.271 0.496 2.138 1.024 × 10−7 0.079 1.483
Dairain_2019 PHY_MPB All 0.044 - - - - - - 0.109 0.283 1.06 4.798 0.268 2.282 1.061 2.102 0.253 2.815 0.928
Dairain_2019 PHY_NoMPB All 0.044 - - - - - - 3.187 7.506 0.004 0 0 0.018 0.169 0 0 0.002 0    
Orvain_2022 S75V25 All 0.085 - - - - - - 0.001 0.22 0.061 0.654 3.052 × 10−13 0.398 0.49 1.644 6.223 × 10−13 0.05 1.235
Cozzoli_2020 10P All 0.1   - - - - - - 1.797 0.082 0.005 0.148 0.02 0.05 0.105 2.996 0.188 9.026 × 10−13 1.221
Cozzoli_2018 MudSand All 0.12  - - - - - - 0.016 0.181 7.978 × 10−12 3.434 × 10−12 7.731 × 10−12 2.943 × 10−12 5.839 × 10−11 1.167 0.132 6.051 × 10−14 0.612
Orvain_2022 S50V50 All 0.179 - - - - - - 0 0.819 0.304 0.15 0.005 0.35 0.473 0.43 0.01 9.814 0.797
Cozzoli_2020 28P All 0.28  - - - - - - 0.286 0.082 0.015 0.013 0 0.001 0.018 9.983 0 3.84 7.108
Orvain_2022 S25V75 All 0.281 - - - - - - 9.936 × 10−4 0.27 4.025 × 10−8 0.414 1.031 × 10−14 0.265 0.516 1.563 1.998 × 10−14 0.101 1.128
Li_2017 Coh All 0.32  - - - - - - 1.443 × 10−4 0.082 0.075 0.002 0.215 1.000 × 10−3 1 1.855 0.215 0.004 0.815
Orvain_2022 S0V100 All 0.357 - - - - - - 2.183 × 10−4 0.112 0 0.251 0 0.341 0.728 0.736 0 0.081 0.877
Ciutat_2007 Natural All 0.723 - - - - - - 1.067 0.192 0.56 0.124 0.002 0.012 0.154 10 0.01 7.849 × 10−9 1.445
V. Global fluff erosion on fluff steps
All All All - - - - - - - 6.877 × 10−6 0.014 0.005 - - - - - - - -
V. Global fluff & mass erosion
All All All - - - - - - - 0.027 0.145 0.242 - - - - 0.537 0.911 - -
SuppTab 3.B:

Models validation scores.
Model equations df slope AIC AICc BIC R2 R2_adjusted RMSE Sigma nRMSE hmc pval_hmc nb_param Pool_nb
I. Creation of th fluff layer
Qfluff_q4   5  1      629      629      631  0  0  24  24  1  1  1  5   1 
Qfluff_q6   6  1      632      632      634  0  0  25  25  1  0  1  6   1 
Qfluff_q2   4  1      638      638      640  0  0  26  26  1  0  0  4   1 
Qfluff_q5   5  1      634      634      636  0  0  25  25  1  0  0  5   1 
Qfluff_q3   5  1      648      648      650  0  0  28  28  1  1  1  5   1 
Qfluff_q1   3  1      648      648      650  0  0  28  28  0  0  0  3   1 
II. Abiotic sediment erodibility
M_Cont_m0tm0mz0  34  1  276,580  276,580  276,589  0  0  29  29  1  0  0  2  17 
III. Individual fluff erosion
F_R_q4fz0_m00tm00mz0 204  1  754,456  754,456  754,465  0  0  34  34  1  0  0  3  68 
III. Individual mass erosion
M_R_q0fz0_m00tm00mz0 272  1  733,400  733,400  733,410  0  0  30  30  1  0  0  4  68 
III. Individual fluff & mass erosion
FM_R_q4fz0_m00tm00mz0 476  1  703,551  703,551  703,560  0  0  25  25  1  0  0  7  68 
IV. Type of sediment, fluff & mass erosion
FM_I_q4fz0_m00tm03mz0 153  1  729,758  729,758  729,768  0  0  48  48  1  0  0  9  17 
FM_I_q4fz0_m00tm02mz0 153  1  730,570  730,570  730,579  0  0  49  49  1  0  0  9  17 
FM_I_q4fz0_m00tm01mz0 136  1  820,498  820,498  820,507  0  0  53  53  1  0  0  8  17 
FM_I_q4fz0_m00tm00mz0 119  1  840,334  840,334  840,344  0  0  60  60  1  0  0  7  17 
V. Global fluff erosion on fluff steps
F_G_q4fz0_m00tm00mz0   3  1  419,134  419,134  419,142  0  0  17  17  1  0  0  3   1 
V. Global fluff & mass erosion
FM_G_q4fz0_m00tm00mz0   5  1  883,666  883,666  883,676  0  0  80  80  1  0  0  5   1 
FM_G_q4fz0_m00tm01mz0   6  1  883,590  883,590  883,599  0  0  80  80  1  0  0  6   1 
FM_G_q4fz0_m00tm02mz0   7  1  883,590  883,590  883,599  0  0  80  80  1  0  0  7   1 
FM_G_q4fz0_m00tm03mz0   7  1  883,590  883,590  883,599  0  0  80  80  1  0  0  7   1 

4 Supplementary data

4.1 Session information

─ Session info ───────────────────────────────────────────────────────────────
 setting  value
 version  R version 4.3.0 (2023-04-21 ucrt)
 os       Windows 10 x64 (build 19045)
 system   x86_64, mingw32
 ui       RTerm
 language EN
 collate  French_France.utf8
 ctype    French_France.utf8
 tz       Europe/Paris
 date     2023-08-29
 pandoc   3.1.1 @ C:/Program Files/RStudio/resources/app/bin/quarto/bin/tools/ (via rmarkdown)
 quarto   1.3.361 @ C:\\Users\\LEHUEN~1\\AppData\\Local\\Programs\\Quarto\\bin\\quarto.exe

─ Packages ───────────────────────────────────────────────────────────────────
 package      * version    date (UTC) lib source
 beepr        * 1.3        2018-06-04 [1] CRAN (R 4.3.0)
 boot         * 1.3-28.1   2022-11-22 [1] CRAN (R 4.3.0)
 broom        * 1.0.5      2023-06-09 [1] CRAN (R 4.3.0)
 colorspace   * 2.1-0      2023-01-23 [1] CRAN (R 4.3.0)
 conflicted   * 1.2.0      2023-02-01 [1] CRAN (R 4.3.0)
 data.table   * 1.14.8     2023-02-17 [1] CRAN (R 4.3.0)
 dplyr        * 1.1.2      2023-04-20 [1] CRAN (R 4.3.0)
 DT           * 0.28       2023-05-18 [1] CRAN (R 4.3.0)
 figpatch     * 0.2        2022-05-03 [1] CRAN (R 4.3.0)
 forcats      * 1.0.0      2023-01-29 [1] CRAN (R 4.3.0)
 geomtextpath * 0.1.1      2022-08-30 [1] CRAN (R 4.3.1)
 GGally       * 2.1.2      2021-06-21 [1] CRAN (R 4.3.0)
 ggdist       * 3.3.0      2023-05-13 [1] CRAN (R 4.3.0)
 ggforce      * 0.4.1      2022-10-04 [1] CRAN (R 4.3.0)
 ggh4x        * 0.2.4      2023-04-04 [1] CRAN (R 4.3.0)
 gginnards    * 0.1.2      2023-05-24 [1] CRAN (R 4.3.0)
 ggplot2      * 3.4.2      2023-04-03 [1] CRAN (R 4.3.0)
 ggpmisc      * 0.5.2      2022-12-17 [1] CRAN (R 4.3.0)
 ggpp         * 0.5.2      2023-04-01 [1] CRAN (R 4.3.0)
 ggpubr       * 0.6.0      2023-02-10 [1] CRAN (R 4.3.0)
 ggridges     * 0.5.4      2022-09-26 [1] CRAN (R 4.3.0)
 ggsci        * 3.0.0      2023-03-08 [1] CRAN (R 4.3.0)
 grafify      * 3.2.0      2023-04-29 [1] CRAN (R 4.3.0)
 gt           * 0.9.0      2023-03-31 [1] CRAN (R 4.3.0)
 gtExtras     * 0.4.5      2022-11-28 [1] CRAN (R 4.3.1)
 gtsummary    * 1.7.1      2023-04-27 [1] CRAN (R 4.3.1)
 Hmisc        * 5.1-0      2023-05-08 [1] CRAN (R 4.3.0)
 htmltools    * 0.5.5      2023-03-23 [1] CRAN (R 4.3.0)
 htmlwidgets  * 1.6.2      2023-03-17 [1] CRAN (R 4.3.0)
 introdataviz * 0.0.0.9003 2023-06-15 [1] Github (psyteachr/introdataviz@0519c98)
 kableExtra   * 1.3.4      2021-02-20 [1] CRAN (R 4.3.0)
 knitr        * 1.43       2023-05-25 [1] CRAN (R 4.3.0)
 leaflet      * 2.1.2      2023-03-10 [1] CRAN (R 4.3.0)
 lmtest       * 0.9-40     2022-03-21 [1] CRAN (R 4.3.0)
 lubridate    * 1.9.2      2023-02-10 [1] CRAN (R 4.3.0)
 metR         * 0.14.0     2023-03-23 [1] CRAN (R 4.3.0)
 openxlsx     * 4.2.5.2    2023-02-06 [1] CRAN (R 4.3.0)
 patchwork    * 1.1.2      2022-08-19 [1] CRAN (R 4.3.0)
 performance  * 0.10.4     2023-06-02 [1] CRAN (R 4.3.0)
 plotly       * 4.10.2     2023-06-03 [1] CRAN (R 4.3.0)
 pracma       * 2.4.2      2022-09-22 [1] CRAN (R 4.3.0)
 purrr        * 1.0.1      2023-01-10 [1] CRAN (R 4.3.0)
 quantreg     * 5.95       2023-04-08 [1] CRAN (R 4.3.0)
 rayshader    * 0.35.7     2023-06-13 [1] CRAN (R 4.3.0)
 RColorBrewer * 1.1-3      2022-04-03 [1] CRAN (R 4.3.0)
 readr        * 2.1.4      2023-02-10 [1] CRAN (R 4.3.0)
 readxl       * 1.4.2      2023-02-09 [1] CRAN (R 4.3.0)
 reshape2     * 1.4.4      2020-04-09 [1] CRAN (R 4.3.0)
 rlist        * 0.4.6.2    2021-09-03 [1] CRAN (R 4.3.0)
 rstatix      * 0.7.2      2023-02-01 [1] CRAN (R 4.3.0)
 scales       * 1.2.1      2022-08-20 [1] CRAN (R 4.3.0)
 sessioninfo  * 1.2.2      2021-12-06 [1] CRAN (R 4.3.0)
 sf           * 1.0-13     2023-05-24 [1] CRAN (R 4.3.0)
 sfheaders    * 0.4.2      2023-03-03 [1] CRAN (R 4.3.0)
 SparseM      * 1.81       2021-02-18 [1] CRAN (R 4.3.0)
 stringr      * 1.5.0      2022-12-02 [1] CRAN (R 4.3.0)
 tibble       * 3.2.1      2023-03-20 [1] CRAN (R 4.3.0)
 tidyr        * 1.3.0      2023-01-24 [1] CRAN (R 4.3.0)
 tidyverse    * 2.0.0      2023-02-22 [1] CRAN (R 4.3.0)
 tmap         * 3.3-3      2022-03-02 [1] CRAN (R 4.3.0)
 tmaptools    * 3.1-1      2021-01-19 [1] CRAN (R 4.3.0)
 unikn        * 0.8.0      2023-01-06 [1] CRAN (R 4.3.0)
 wesanderson  * 0.3.6      2018-04-20 [1] CRAN (R 4.3.0)
 zoo          * 1.8-12     2023-04-13 [1] CRAN (R 4.3.0)

 [1] C:/Users/lehuen201/AppData/Local/Programs/R/R-4.3.0/library

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References